Extension of geometrized Maxwell theory based on nonmetricity
• Kulyabov D. S., RUDN University & LIT JINR, Russia
• Korolkova A. V., RUDN University
• Sevastianov L. A., RUDN University & BLTP JINR, Russia
• Velieva T. R., Plekhanov Russian University of Economics & RUDN University
• Fedorov A. V., RUDN University
Abstract
Different versions of Riemannian geometry can be classified according to three schoutens: curvature, torsion, nonmetricity. So, Minkowski space is degenerate, since all three schoutens are equal to zero. Usually, they use the Riemannian space of the general theory of relativity, in which only the first schouten is nonzero - curvature. When geometrizing Maxwell’s equations based on such a Riemannian space, it is necessary to implicitly impose some physical restrictions. So, in the general case, connections in tangent and cotangent bundles of an electromagnetic field manifold cannot be transformed into each other by means of a symmetric metric tensor. It is supposed to investigate variants of Riemannian geometry with nontrivial schoutens. In particular, the authors consider a variant of Riemannian geometry with nonmetricity.
Speaker
Arseny V. Fedorov
RUDN University
Russia
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